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IMI/Publicaţii/BASM/Ediţii/BASM n.2(93), 2020/

Asymmetric Separation of Convex Sets

Authors: Valeriu Soltan

Abstract

Based on various types of asymmetric hyperplane separation of a given pair of convex sets $K_1$ and $K_2$ in the $n$-dimensional Euclidean space, we derive a uniform description of existing types of separation. Our argument uses properties of the polar cone $(K_1 - K_2)^\circ$. Also, we consider asymmetric separation of convex cones with a common apex.

George Mason University
Fairfax, Virginia 22030, USA
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